Calculate the strength of earth gravitational field

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The highest mountain in Canada is Mount Logan with a peak height of 5959 m above sea level Assume that sea level defines the height of Earth's surface. (rE = 6.38 x 106m, mE = 5.98 x 1024 kg, G = 6.67 x 10-11N · m2/kg 2 )

a) Calculate the strength of Earth's gravitational field at the altitude of Mount Logan.

b) What is the ratio of the strength of Earth's gravitational field at the top of Mount Logan to the strength of the Earth's surface?

c) A mountain climber on top of Mount Logan wonders how fast must a satellite leave Earth's surface to reach an orbit with an altitude 800 km above his position. Calculate the velocity of the satellite.

Reference no: EM132512430

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